Average Error: 62.0 → 62.0
Time: 741.0ms
Precision: 64
\[lo \lt -1 \cdot 10^{308} \land hi \gt 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r3853 = x;
        double r3854 = lo;
        double r3855 = r3853 - r3854;
        double r3856 = hi;
        double r3857 = r3856 - r3854;
        double r3858 = r3855 / r3857;
        return r3858;
}
↓
double f(double lo, double hi, double x) {
        double r3859 = x;
        double r3860 = lo;
        double r3861 = r3859 - r3860;
        double r3862 = hi;
        double r3863 = r3862 - r3860;
        double r3864 = r3861 / r3863;
        return r3864;
}

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]

  2. Final simplification62.0

    \[\leadsto \frac{x - lo}{hi - lo}\]

Reproduce

herbie shell --seed 2020062 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))